Every week, Mrs Zeph collected 60% more vitamin pills than Mrs Fabian from the pharmacy. They each consumed 14 vitamins weekly and would leave the rest for their family members to consume the rest. After some time, both ladies consumed a total of 532 vitamin pills and Mrs Zeph's family members consumed 399 more vitamin pills than Mrs Fabian's family.
- How many members were there in Mrs Zeph's family, if they each consumed 14 pills weekly?
- How many vitamin pills did Mrs Fabian collect from the pharmacy each week?
(a)
60% + 100% = 160%
160% =
160100 =
85 Number of pills Mrs Fabian collected in total = 5 u
Number of pills Mrs Zeph collected in total = 8 u
Total pills eaten per week by Mrs Fabian and Mrs Zeph
= 14 + 14
= 28
Number of weeks
= 532 ÷ 28
= 19
Difference in the number of pills Mrs Zeph's family consumed more than Mrs Fabian's family
= 8 u - 5 u
= 3 u
3 u = 399
1 u = 399 ÷ 3 = 133
Number of pills that Mrs Zeph collected in total
= 8 u
= 8 x 133
= 1064
Number of pills that Mrs Zeph's family consumed per week
= 1064 ÷ 19
= 56
Number of members in Mrs Zeph's family
= 56 ÷ 14
= 4
(b)
Number of pills that Mrs Fabian collected in total
= 5 u
= 5 x 133
= 665
Number of pills that Mrs Fabian collected each week
= 665 ÷ 19
= 35
Answer(s): (a) 4; (b) 35